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mf_newforms • Show schema
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{'Nk2': 3700, 'analytic_conductor': 7.386162186968436, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [925, 4, [852, 76], [3, 3]], 'cm_discs': [], 'conrey_index': 43, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1]], [3, [2, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258309533, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 185, 6, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '925.2.f.b', 'level': 925, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 37], 'level_radical': 185, 'minimal_twist': '185.2.f.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 6, 'qexp_display': 'q+i q^{2}+(i+1)q^{3}+q^{4}+(i-1)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '925.2.f', 'trace_display': [0, 2, 0, 6], 'trace_hash': 1972199141633421844, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.082', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.598', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.447', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.123', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 3700, 'analytic_conductor': 7.386162186968436, 'char_conductor': 185, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [925, 4, [852, 76], [3, 3]], 'conrey_index': 43, 'cusp_dim': 178, 'dim': 110, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 343630939037, 'hecke_orbit_dims': [2, 2, 6, 24, 28, 48], 'label': '925.2.f', 'level': 925, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 37], 'level_radical': 185, 'mf_dim': 202, 'mf_new_dim': 118, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 55, 'sturm_bound': 190, 'trace_bound': 3, 'trace_display': [0, -4, 0, 4], 'traces': [110, 0, -4, -106, 0, -4, 4, 0, 0, 0, 0, 32, 0, 0, 0, 90, 20, 22, 12, 0, 0, -20, 0, -12, 0, -24, 20, 8, 2, 0, 8, 0, -8, 0, 0, 0, 12, 60, 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-216, 208, 0, 0, -232, -220, -160, 0, -1056, -160, -84, -168, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35245400
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 882, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309533, 'target_is_minimal': False, 'target_label': '925.2.f.b.882.1', 'target_level': 925, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35245401
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 68, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692473, 'target_is_minimal': True, 'target_label': '185.2.k.b.68.1', 'target_level': 185, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35245402
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 68, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322717, 'target_is_minimal': False, 'target_label': '925.2.k.a.68.1', 'target_level': 925, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35245403
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 142, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938297, 'target_is_minimal': True, 'target_label': '185.2.f.a.142.1', 'target_level': 185, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35245404
{'conductor': 37, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 857, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322717, 'target_is_minimal': False, 'target_label': '925.2.k.a.857.1', 'target_level': 925, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '37.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35245405
{'conductor': 185, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 43, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309533, 'target_is_minimal': False, 'target_label': '925.2.f.b.43.1', 'target_level': 925, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '185.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 35245406
{'conductor': 185, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 43, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938297, 'target_is_minimal': True, 'target_label': '185.2.f.a.43.1', 'target_level': 185, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '185.117', 'twisting_conrey_index': 117, 'weight': 2}
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id: 35245407
{'conductor': 185, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 882, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258309533, 'source_is_minimal': False, 'source_label': '925.2.f.b.882.1', 'source_level': 925, 'target_conrey_index': 117, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692473, 'target_is_minimal': True, 'target_label': '185.2.k.b.117.1', 'target_level': 185, 'twist_class_label': '185.2.f.a.43.1', 'twist_class_level': 185, 'twisting_char_label': '185.154', 'twisting_conrey_index': 154, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1498425
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 2}
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id: 1498426
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 3}
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id: 1498427
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503943258309533, 'p': 5}
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id: 1498428
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 7}
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id: 1498429
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 11}
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id: 1498430
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 13}
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id: 1498431
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503943258309533, 'p': 17}
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id: 1498432
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 19}
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id: 1498433
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 23}
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id: 1498434
{'charpoly_factorization': [[[98, -14, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 29}
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id: 1498435
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 31}
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id: 1498436
{'charpoly_factorization': [[[37, 12, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 37}
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id: 1498437
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503943258309533, 'p': 41}
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id: 1498438
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 43}
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id: 1498439
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 47}
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id: 1498440
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 53}
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id: 1498441
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 59}
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id: 1498442
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 61}
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id: 1498443
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 67}
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id: 1498444
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4503943258309533, 'p': 71}
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id: 1498445
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 73}
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id: 1498446
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 79}
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id: 1498447
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 83}
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id: 1498448
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4503943258309533, 'p': 89}
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id: 1498449
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4503943258309533, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '925.2.f.b', 'level': 925, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22423015
{'hecke_orbit_code': 4503943258309533, 'n': 1, 'trace_an': 2}
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id: 22423016
{'hecke_orbit_code': 4503943258309533, 'n': 2, 'trace_an': 0}
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id: 22423017
{'hecke_orbit_code': 4503943258309533, 'n': 3, 'trace_an': 2}
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id: 22423018
{'hecke_orbit_code': 4503943258309533, 'n': 4, 'trace_an': 2}
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id: 22423019
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